I've been reviewing time dilation and minkowski diagrams in my spare time and a thought occurred to me which I wanted to confirm. I thought of this when imagining reflections in eyes, so for the sake of simplicity, let's say that mirrors can see. Let's say you have two mirrors which are placed face to face at time t = 0. Let's say that mirror B then quickly (for the sake of simplicity: instantly) accelerates to 0.5c (away from mirror A). After 10 seconds at this velocity, mirror B would be seeing mirror A as mirror A was at t = 8.67 seconds. Incidentally, mirror A (at 8.67 seconds) was reflecting the image of mirror B as it was at 7.5 seconds... which was what mirror A was at 6.494 seconds... which was mirror B at 5.62 second... and so on and so forth. After a certain number of reflections, would you get the image of a black mirror (as it was at t=0)? Or would the "instant of reflection" approach t = 0 asymptotically?